{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "fa075b18-2fd0-47f4-948e-93885ae01582",
   "metadata": {},
   "source": [
    "# 一、图形绘制"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "22765014-887f-416e-8b22-5ed075aab36c",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "c4be1a2f-fb89-4f1a-b2f1-3d56a1715fc1",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "c67948c1-1595-4f0e-81b5-de86b2622311",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 设置绘制图形的参数\n",
    "x = np.linspace(0, 2*np.pi)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "f83cbd68-c97d-4355-aece-58efbce92768",
   "metadata": {},
   "outputs": [],
   "source": [
    "y = np.sin(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "29c5c175-7e40-41bd-8dd3-86dda50e14a9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 900x600 with 0 Axes>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 900x600 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 设置画布\n",
    "plt.figure(figsize=(9, 6))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "c2c63287-d5f8-40d5-ba62-82586d806f6d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1afbd56e560>]"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 调用plot方法，并传入x轴的数据和y轴的数据，开始绘图\n",
    "plt.plot(x, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "a32ed0ac-949a-4cf7-a776-fb1c70dc624f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 设置网格线\n",
    "plt.grid()\n",
    "\n",
    "plt.plot(x, y)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "10328948-e1b2-4e91-90ad-3b5d6fd17461",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.grid(\n",
    "    ls='--',   # linestyle线条的样式，--表示虚线\n",
    "    color='green',   # 设置线条颜色\n",
    "    alpha=0.75   # 设置透明度\n",
    ")\n",
    "\n",
    "plt.plot(x, y)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "d67c68a8-f2df-411e-bd97-826c69545ac2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 设置坐标轴范围\n",
    "plt.axis([-1, 10, -1.5, 1.5])  # axis是设置轴的范围\n",
    "# [-1, 10]是x轴的范围，[-1.5, 1.5] 是y轴的范围\n",
    "\n",
    "plt.plot(x, y)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "71fbf898-353a-4dbf-800f-43e64cb340fc",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 除了用axis来设置轴的范围，还可以用\n",
    "# xlim和ylim来设置\n",
    "plt.xlim([-1, 8])\n",
    "plt.ylim([-2, 2])\n",
    "plt.plot(x,y)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "be111e54-3acb-415d-aeb3-98f41e5fdd69",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.11"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
